GCF of 4474/451, 3440/5819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4474/451, 3440/5819 i.e 2/238579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4474/451, 3440/5819.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4474/451,3440/5819?
Given fractions are 4474/451,3440/5819
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4474/451,3440/5819, numerators are 4474,3440
Denominators are 451,5819
The GCF of 4474,3440 is 2 .
LCM of 451,5819 is 238579.
The greatest common factor of 4474/451,3440/5819 = [GCF of 4474,3440]/[LCM of 451,5819]= 2/238579
Therefore, the GCF of 4474/451,3440/5819 is 2/238579.
To find the highest common factor of 4474,3440, we have to find the factors of both numbers and list the highest common factor.
The factors of 4474 are 1, 2, 2237, 4474
The factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440
The HCF of 4474,3440 is 2.
Lets's calculate GCF of 4474,3440
| 2 | 4474, 3440 |
| 2237, 1720 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4474,3440 By Matching Biggest Common Factor Method
Now, list down the factors of 4474
:1,2,2237,4474
Now, list down the factors of 3440
:1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Greatest Common Factor
We found the factors 4474,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 4474,3440 is 2.
Lets's calculate LCM of 451,5819
| 11 | 451, 5819 |
| 41, 529 |
∴ So the LCM of the given numbers is 11 x 41 x 529 = 238579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238579
Therefore, the GCF of Fractions 4474/451,3440/5819 is 2/238579
Least Common Multiple of 451,5819 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 451,5819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,5819) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(451,5819) x common factors =11 x 1 = 11
LCM(451,5819) = ( 451 × 5819 ) / 11
LCM(451,5819) = 2624369 / 11
LCM(451,5819) = 238579
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FAQs on GCF of Fractions of 4474/451, 3440/5819
1. What is the HCF of 4474,3440?
The HCF of 4474,3440 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4474/451, 3440/5819?
Answer: GCF of Numerators as per given numbers 4474/451, 3440/5819 is
GCF of Numerators i.e. for 4474,3440 is 2
LCM of denominators i.e. for 451,5819 is 238579.
Thus, GCF of Fractions is 2/238579.Finally, GCF of Fractions for 4474/451, 3440/5819 is 2/238579.